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Finding the Fourth Proportional to 17,493.50, 24,140.32 and 9,535.55

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Solution

The fourth proportional to 17,493.50, 24,140.32 and 9,535.55 is: 13,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.50 : 24,140.32 = 9,535.55 : x
  2. Step 2: Convert to fraction form
    17,493.50/24,140.32 = 9,535.55/x
  3. Step 3: Cross multiply
    17,493.50x = 24,140.32 × 9,535.55
  4. Step 4: Simplify right side
    17,493.50x = 230,191,264.89
  5. Step 5: Solve for x
    x = 230,191,264.89/17,493.50
  6. Step 6: Final answer
    x = 13,158.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.